Finding the Third Proportional to 38,794 and 84,500

Step by Step Solution

1. Step 1: Write the proportion equation
   38,794 : 84,500 = 84,500 : x
2. Step 2: Convert to fraction form
   38,794/84,500 = 84,500/x
3. Step 3: Cross multiply
   38,794x = 84,500 × 84,500
4. Step 4: Simplify right side
   38,794x = 7,140,250,000
5. Step 5: Solve for x
   x = 7,140,250,000/38,794
6. Step 6: Final answer
   x = 184,055.52